# Stored data for newspace 784.2.i, downloaded from the LMFDB on 28 March 2024. {"label": "784.2.i", "level": 784, "weight": 2, "char_conductor": 7, "char_degree": 2, "char_parity": 1, "sturm_bound": 224, "dim": 36, "eis_dim": 96, "eis_new_dim": 8, "cusp_dim": 176, "mf_dim": 272, "char_order": 3, "char_orbit_label": "i", "char_is_real": false, "trace_bound": 11, "num_forms": 14, "Nk2": 3136, "analytic_conductor": 6.260271518468382, "level_radical": 14, "mf_new_dim": 44, "char_values": [784, 3, [687, 197, 689], [3, 3, 1]], "hecke_orbit_dims": [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], "trace_display": [0, -3, 1, 0], "traces": [36, 0, -3, 0, 1, 0, 0, 0, -13, 0, 3, 0, 4, 0, 14, 0, 1, 0, -5, 0, 0, 0, 9, 0, -13, 0, 18, 0, 16, 0, 13, 0, -9, 0, 0, 0, -7, 0, -26, 0, 12, 0, -16, 0, -10, 0, 3, 0, 0, 0, -47, 0, -11, 0, -22, 0, -54, 0, -27, 0, -3, 0, 0, 0, 18, 0, 15, 0, -2, 0, 64, 0, 13, 0, 4, 0, 0, 0, 33, 0, 22, 0, 40, 0, -50, 0, 26, 0, 13, 0, 0, 0, 21, 0, -33, 0, 12, 0, 4, 0, 5, 0, -1, 0, 0, 0, -31, 0, 9, 0, -38, 0, 48, 0, -19, 0, 20, 0, 0, 0, -13, 0, 42, 0, -30, 0, 32, 0, -12, 0, -25, 0, 0, 0, 19, 0, -7, 0, 24, 0, 10, 0, 26, 0, -14, 0, 0, 0, -3, 0, 59, 0, -44, 0, -34, 0, -7, 0, 23, 0, 0, 0, 61, 0, 35, 0, -88, 0, -68, 0, -30, 0, -43, 0, 0, 0, 37, 0, -5, 0, -4, 0, -170, 0, -1, 0, 27, 0, 0, 0, 5, 0, 9, 0, -12, 0, 16, 0, 29, 0, 35, 0, 0, 0, -2, 0, -58, 0, -2, 0, -176, 0, 48, 0, 4, 0, 0, 0, -35, 0, 2, 0, 16, 0, -6, 0, -15, 0, 41, 0, 0, 0, -39, 0, 15, 0, 94, 0, 40, 0, -35, 0, 0, 0, 0, 0, 106, 0, -12, 0, 80, 0, 74, 0, 5, 0, -31, 0, 0, 0, -30, 0, 7, 0, -38, 0, -26, 0, -23, 0, -1, 0, 0, 0, -56, 0, -83, 0, 36, 0, -64, 0, 1, 0, -17, 0, 0, 0, 35, 0, 90, 0, -36, 0, 30, 0, 21, 0, -42, 0, 0, 0, 13, 0, 29, 0, -40, 0, -142, 0, 1, 0, 53, 0, 0, 0, -7, 0, -42, 0, 6, 0, 18, 0, 24, 0, -37, 0, 0, 0, -19, 0, 16, 0, -46, 0, 64, 0, 6, 0, 7, 0, 0, 0, 21, 0, -145, 0, -44, 0, 140, 0, -23, 0, 16, 0, 0, 0, -139, 0, 3, 0, -60, 0, 102, 0, -47, 0, -68, 0, 0, 0, -7, 0, -49, 0, 72, 0, 280, 0, -24, 0, 27, 0, 0, 0, -20, 0, 17, 0, 70, 0, 50, 0, 29, 0, -71, 0, 0, 0, -47, 0, 78, 0, 14, 0, 302, 0, 57, 0, 23, 0, 0, 0, -44, 0, -36, 0, 56, 0, 32, 0, -14, 0, 20, 0, 0, 0, 122, 0, 83, 0, 76, 0, 252, 0, -25, 0, -5, 0, 0, 0, -7, 0, 101, 0, 130, 0, 112, 0, 14, 0, 67, 0, 0, 0, -27, 0, -61, 0, 84, 0, -144, 0, -23, 0, -1, 0, 0, 0, 17, 0, -100, 0, -56, 0, 192, 0, -7, 0, -30, 0, 0, 0, -114, 0, -57, 0, -50, 0, -24, 0, -46, 0, -30, 0, 0, 0, 53, 0, -84, 0, -32, 0, -170, 0, 59, 0, 1, 0, 0, 0, 9, 0, -117, 0, -82, 0, -154, 0, 21, 0, -5, 0, 0, 0, -111, 0, 59, 0, -60, 0, -224, 0, -39, 0, 31, 0, 0, 0, -27, 0, 234, 0, 18, 0, -184, 0, 30, 0, 22, 0, 0, 0, 271, 0, -103, 0, 16, 0, 218, 0, 21, 0, 46, 0, 0, 0, -75, 0, -13, 0, -106, 0, -424, 0, -3, 0, 7, 0, 0, 0, -75, 0, 48, 0, 8, 0, -38, 0, -78, 0, -23, 0, 0, 0, -27, 0, -1, 0, -4, 0, -332, 0, 6, 0, -53, 0, 0, 0, 66, 0, -7, 0, 92, 0, 32, 0, 45, 0, -77, 0, 0, 0, 76, 0, -127, 0, 66, 0, -288, 0, 36, 0, -24, 0, 0, 0, 144, 0, 5, 0, -136, 0, -200, 0, -79, 0, 15, 0, 0, 0, 105, 0, -5, 0, -60, 0, 32, 0, 33, 0, 6, 0, 0, 0, -94, 0, 152, 0, -30, 0, 16, 0, 76, 0, 57, 0, 0, 0, -79, 0, 179, 0, 154, 0, 30, 0, -6, 0, 55, 0, 0, 0, -84, 0, 6, 0, -142, 0, 280, 0, 21, 0, -25, 0, 0, 0, -7, 0, 14, 0, -34, 0, 220, 0, -44, 0, 31, 0, 0, 0, 141, 0, -14, 0, 160, 0, -172, 0, 4, 0, 5, 0, 0, 0, 65, 0, -133, 0, -68, 0, 160, 0, 11, 0, 72, 0, 0, 0, -187, 0, -16, 0, 82, 0, -176, 0, -21, 0, 33, 0, 0, 0, 98, 0, 102, 0, -4, 0, 414, 0, 21, 0, 4, 0, 0, 0, 86, 0, -16, 0, -28, 0, -2, 0, 61, 0, 15, 0, 0, 0, 98, 0, 211, 0, -204, 0, 290, 0, -98, 0, -17, 0, 0, 0, 49, 0, 37, 0, -120, 0, -110, 0, -11, 0, -20, 0, 0, 0, -67, 0, 63, 0, -24, 0, -32, 0, -27, 0, -25, 0, 0, 0, -212, 0, 63, 0, -144, 0, -148, 0, 30, 0, -41, 0, 0, 0, 17, 0, -153, 0, 20, 0, 156, 0, -3, 0, -29, 0, 0, 0, 161, 0, 109, 0, -80, 0, -150, 0, -62, 0, 60, 0, 0, 0, 77, 0, -230, 0, -44, 0, 176, 0, 33, 0, 19, 0, 0, 0, -85, 0, 157, 0, 154, 0, -44, 0, -38, 0, -13, 0, 0, 0, -18, 0, -41, 0, 228, 0, 112, 0, 4, 0, 17, 0, 0, 0, -139, 0, -148, 0, 64, 0, 132, 0, -38, 0, -43, 0, 0, 0, 9, 0, 295, 0, 36, 0, -234, 0, 33, 0, -62, 0, 0, 0, 229, 0, -46, 0, 138, 0, -208, 0, 33, 0, 30, 0, 0, 0, 67, 0, 26, 0, -70, 0, -448, 0, 47, 0, -73, 0, 0, 0, -144, 0, -31, 0, -30, 0, 144, 0, 21, 0, 42, 0, 0, 0, -156, 0, -289, 0, 126, 0, -642, 0, 49, 0, 25, 0], "hecke_cutter_primes": [3, 5, 11], "level_primes": [2, 7], "relative_dim": 18, "hecke_orbit_code": 549789369104, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": true, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 9, "prim_orbit_index": 3, "conrey_index": 177, "newforms": ["784.2.i.a", "784.2.i.b", "784.2.i.c", "784.2.i.d", "784.2.i.e", "784.2.i.f", "784.2.i.g", "784.2.i.h", "784.2.i.i", "784.2.i.j", "784.2.i.k", "784.2.i.l", "784.2.i.m", "784.2.i.n"], "oldspaces": [[28, 5, 9, 6], [49, 3, 18, 5], [56, 9, 9, 4], [98, 3, 67, 4], [112, 9, 65, 2], [196, 5, 165, 3], [392, 9, 177, 2]]}